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3 years ago

Please help quick, will give brainliest(pic included) thanks :)

Mathematics

2 answers:

Sophie [7]3 years ago

5 0

Answer:

Step-by-step explanation:

took the test

Scrat [10]3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

Write a recursive formula and an explicit formula for the following arithmetic sequence: -1,6,13,20,27

Luden [163]

Answer:

Recursive formula is: $a_1=-1 ; \ \ a_n=a_{n-1}+7$

Explicit formula is: $a_n=7n-8$

Step-by-step explanation:

We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27

In the given sequence First term a₁= -1

Common difference d = 7

Finding Recursive Formula

The recursive formula is of type: $a_1= First \ term$ and $a_n=a_{n-1}+d$

Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula for given arithmetic sequence will be:

$a_1=-1 ; \ \ a_n=a_{n-1}+7$

Finding Explicit Formula

The explicit formula is of type: $a_n=a_1+(n-1)d$

We have

First term a₁= -1

Common difference d = 7

So, explicit formula will be:

$a_n=-1+(n-1)7\\a_n=-1+7n-7\\a_n=7n-8$

So, explicit formula is: $a_n=7n-8$

7 0

3 years ago

Point A is at (3, 4) and point M is at (1, 0). Point M is the midpoint of segment AB. What

kompoz [17]

Answer:

B (-1 , -4)

Step-by-step explanation:

A (3 , 4)

M (1 , 0)

$B\left( x_{B},y_{B}\right)$

M is the midpoint of segment AB means :

$\begin{cases}\frac{x_{A}+x_{B}}{2} =x_{M}&\\ \frac{y_{A}+y_{B}}{2} =y_{M}}{} &\end{cases}$

Then

$\begin{cases}x_{B}=2x_{M}-x_{A}&\\ y_{B}=2y_{M}-y_{A}&\end{cases}$

Then

$\begin{cases}x_{B}=2\left( 1\right) -3&\\ y_{B}=2(0)-4&\end{cases}$

Then

$\begin{cases}x_{B}=-1&\\ y_{B}=-4&\end{cases}$

3 0

2 years ago

Multiple step problem -6 = 2 (w+5)

Romashka-Z-Leto [24]

Answer:

w = -8

Step-by-step explanation:

Distribute: -6 = 2w + 10

Remove the 10: -6 -10 = 2w +10 -10 ---> -16 = 2w

Isolate the variable: -16/2 = 2w/2

Answer: -8 = w

4 0

3 years ago

A circular running track 1/4 is mile long. Elena runs on this track, completing each lap in 1/20 of an hour. Elena's running spe

Delicious77 [7]

Answer:

Elena's running speed is 5 miles/hour

Explanation:

The speed is defined as the covered distance per unit time

In the problem, we have:

The distance covered is the length (circumference) of the circular track which is given as $\frac{1}{4}$ of a mile.

We are also given that she completes each lap (she completes $\frac{1}{4}$ of a mile) in $\frac{1}{20}$ of an hour

To get her speed, we will divide the distance covered by the time taken to cover this distance

This is done as follows:

speed = $\frac{\frac{1}{4} }{\frac{1}{20} } = 5$ miles/hour

This means that:

Elena can run 5 miles each hour

Hope this helps :)

5 0

4 years ago

Question 2

Oliga [24]

Answer:

440

Step-by-step explanation:

average of two middle values is 440

(425 + 455) / 2 = 440

3 0

3 years ago